<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0256-7024</journal-id>
<journal-title><![CDATA[Revista Geológica de América Central]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Geol. Amér. Central]]></abbrev-journal-title>
<issn>0256-7024</issn>
<publisher>
<publisher-name><![CDATA[Universidad de Costa Rica]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0256-70242016000200061</article-id>
<article-id pub-id-type="doi">10.15517/rgac.v55i0.26966</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Modelo fractal de una erupción aplicado a volcanes denominados log-logísticos: colima, soufriere y erebus]]></article-title>
<article-title xml:lang="en"><![CDATA[Eruption fractal model applied to log-logistic volcanoes: colima, soufriere and erebus]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Brenes-André]]></surname>
<given-names><![CDATA[José]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Red Ciudadana de Estaciones Meteorológicas  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>CR</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<numero>55</numero>
<fpage>61</fpage>
<lpage>69</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S0256-70242016000200061&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S0256-70242016000200061&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S0256-70242016000200061&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen:El modelo fractal propuesto en Brenes (2013), Brenes &amp; Alvarado (2013), Brenes (2014) y Brenes (2016) es ampliado para deducir una relación log-logística generalizada que puede dar sustento teórico a la relación loglogística empírica propuesta en Connor et al (2003) para el volcán Soufriere. La deducción presentada permite también una interpretación termodinámica del proceso eruptivo.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract:The fractal model proposed in Brenes (2013), Brenes &amp; Alvarado (2013), Brenes (2014) y Brenes (2016) is now expanded to include the empirical log-logistical relationship proposed in Connor et al. (2003) for Soufriere volcano, providing it with a theoretical basis. Such a theoretical derivation suggests a thermo-dynamical view of the eruption process.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Balankin]]></kwd>
<kwd lng="en"><![CDATA[Landau]]></kwd>
<kwd lng="en"><![CDATA[Brown]]></kwd>
<kwd lng="en"><![CDATA[Griffith]]></kwd>
<kwd lng="en"><![CDATA[Glass transition]]></kwd>
<kwd lng="en"><![CDATA[Soufriere]]></kwd>
<kwd lng="en"><![CDATA[Colima]]></kwd>
<kwd lng="en"><![CDATA[Erebus]]></kwd>
<kwd lng="en"><![CDATA[SFT]]></kwd>
<kwd lng="es"><![CDATA[Balankin]]></kwd>
<kwd lng="es"><![CDATA[Landau]]></kwd>
<kwd lng="es"><![CDATA[Griffith]]></kwd>
<kwd lng="es"><![CDATA[Transición del vidrio]]></kwd>
<kwd lng="es"><![CDATA[Soufriere]]></kwd>
<kwd lng="es"><![CDATA[Colima]]></kwd>
<kwd lng="es"><![CDATA[Erebus]]></kwd>
<kwd lng="es"><![CDATA[SFT]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Formation of glasses from liquids and biopolymers]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Angell]]></surname>
<given-names><![CDATA[C. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Science]]></source>
<year>1995</year>
<volume>267</volume>
<page-range>1924-35</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Aplicación de la teoría de fragmentación/transporte secuencial a los depósitos de las erupciones 1723 y 196365 del Irazú, Costa Rica. Caso dispersión negativa]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brenes]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Rev. Geol. Amér. Central]]></source>
<year>2013</year>
<volume>48</volume>
<page-range>63-85</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Aplicación de la teoría de fragmentación/ transporte secuencial a los depósitos de las erupciones 1723 y 1963-65 del Irazú, Costa Rica. Caso dispersión positiva y modelo fractal]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brenes]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Alvarado]]></surname>
<given-names><![CDATA[G. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Rev. Geol. Amér. Central]]></source>
<year>2013</year>
<volume>48</volume>
<page-range>87-98</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Aplicación del modelo de fractura fractal de Balankin al modelo fractal de actividad volcánica]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brenes]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Rev. Geol. Amér. Central]]></source>
<year>2014</year>
<volume>50</volume>
<page-range>83-98</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Incorporación del modelo de Landau al modelo fractal de una erupción]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brenes-Andre]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Rev. Geol. Amér. Central]]></source>
<year>2016</year>
<volume>54</volume>
<page-range>125-42</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Exploring links between physical and probabilistic models of volcanic eruptions: The Soufrie`re Hills Volcano, Montserrat]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Connor]]></surname>
<given-names><![CDATA[C. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Sparks]]></surname>
<given-names><![CDATA[R. S. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Mason]]></surname>
<given-names><![CDATA[R. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bonadonna]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Young]]></surname>
<given-names><![CDATA[S. R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Geophys R. Lett]]></source>
<year>2003</year>
<volume>30</volume>
<page-range>1701</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Connor]]></surname>
<given-names><![CDATA[C. B.]]></given-names>
</name>
<name>
<surname><![CDATA[McBirney]]></surname>
<given-names><![CDATA[A. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Furlan]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[What is the probability of explosive eruption at long-dormant volcano?]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Mader]]></surname>
<given-names><![CDATA[H. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Coles]]></surname>
<given-names><![CDATA[S. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Connor]]></surname>
<given-names><![CDATA[C. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Connor]]></surname>
<given-names><![CDATA[L. J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Statistics in Volcanology. Special Publications of International Association of Volcanology and Chemistry of the Earth's Interior 1 (IAVCEI)]]></source>
<year>2006</year>
<page-range>39-46</page-range><publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Geological Soc. London]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Seismological aspects of the 1989-1990 eruption of Redoubt volcno, Alaska: The materials failure forecast method (FFM) with RSAM and SSAM seismic data]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cornelius]]></surname>
<given-names><![CDATA[R. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Voight]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Volcan. Geotherm. Res.]]></source>
<year>1994</year>
<volume>62</volume>
<page-range>469-98</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Cyclic eruptive behaviour of silicic volcanoes.]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Denlinger]]></surname>
<given-names><![CDATA[R. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Hoblitt]]></surname>
<given-names><![CDATA[R. P]]></given-names>
</name>
</person-group>
<source><![CDATA[Geology]]></source>
<year>1999</year>
<volume>27</volume>
<page-range>459-62</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Nucleation in silicate glasses and effect of preliminary heat treatment on it]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fokin]]></surname>
<given-names><![CDATA[V. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Kalinia]]></surname>
<given-names><![CDATA[A. M. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Filipovich]]></surname>
<given-names><![CDATA[V. N.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Cryst. Growth]]></source>
<year>1981</year>
<volume>52</volume>
<page-range>115</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Forecasting the duration of volcanic eruptions: an empirical probabilistic model]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gunn]]></surname>
<given-names><![CDATA[L. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Blake]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Jones]]></surname>
<given-names><![CDATA[M. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Rymer]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Bull Volcanol]]></source>
<year>2014</year>
<volume>76</volume>
<page-range>780</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[A sudden drop of fractal dimension: a likely precursor of catastrophic failure in disordered media]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lu]]></surname>
<given-names><![CDATA[Y-C.]]></given-names>
</name>
<name>
<surname><![CDATA[Maiy]]></surname>
<given-names><![CDATA[Y-W.]]></given-names>
</name>
<name>
<surname><![CDATA[Xiez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Philosophical Magazine Letters]]></source>
<year>2005</year>
<volume>85</volume>
<page-range>33-40</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Nonlinear dynamics of lava dome extrusion]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Melnik]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
<name>
<surname><![CDATA[Sparks]]></surname>
<given-names><![CDATA[R. S. J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Nature]]></source>
<year>1999</year>
<volume>402</volume>
<page-range>37-41</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Logarithmically slow domain growth in nonrandom frustrated systems: Ising models with competing interactions]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shore]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Holzer]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Sethna]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Phys. Rev. B]]></source>
<year>1992</year>
<volume>46</volume>
<page-range>11376-404</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Control on the emplacement of the andesite dome of the Soufriere Hills Volcano, Monserrat, by degassing-induced crystallization.]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sparks]]></surname>
<given-names><![CDATA[R. S. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Murphy]]></surname>
<given-names><![CDATA[M. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Lejeune]]></surname>
<given-names><![CDATA[A. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Watts]]></surname>
<given-names><![CDATA[R. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Barclay]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Young]]></surname>
<given-names><![CDATA[S. R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Tera Nova]]></source>
<year>2000</year>
<volume>12</volume>
<page-range>14-20</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Varley]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Johnson]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruiz]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Reyes]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Martin]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Applying Statistical Analysis to Understanding the Dynamics of Volcanic Explosions]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Mader]]></surname>
<given-names><![CDATA[H. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Coles]]></surname>
<given-names><![CDATA[S. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Connor]]></surname>
<given-names><![CDATA[C. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Connor]]></surname>
<given-names><![CDATA[L. J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Statistics in Volcanology. Special Publications of International Association of Volcanology and Chemistry of the Voight, B., 1989: A relation to describe rateEarth's Interior 1 (IAVCEI). Geol. Soc. dependent material failure]]></source>
<year>2006</year>
<page-range>57-76</page-range><publisher-loc><![CDATA[London, London ]]></publisher-loc>
<publisher-name><![CDATA[Science]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[A method for prediction of volcanic eruptions]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Voight]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Nature]]></source>
<year>1988</year>
<volume>332</volume>
<page-range>125-30</page-range></nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[A relation to describe rate-dependent material failure]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Voight]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Science]]></source>
<year>1989</year>
<volume>243</volume>
<page-range>200-3</page-range></nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[A statistical distribution of wife applicability]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Weibull]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<source><![CDATA[J. Appl. Mech]]></source>
<year>1951</year>
<volume>18</volume>
<page-range>293-7</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
